Aprojectile fired from the ground follows the trajectory given by the following equation, where vo is the initial speed, 0 is the angle of projection, g is the acceleration due to gravity, and k is the drag factor caused by air resistance. vo cos(8) using the power series representation in(1 +xx)-x + . < x < 1, verify that the trajectory can be rewritten as the following. using the power series representation ln(1 + x) = x--+ gx2 kgx3 2vo2 cos2(0) 3vo3 cos3(0) 4vo4 cos4(0) y (tan(0))x - y = ( tan(0) + w cos(0) n 1 y = -?

The key to stability is feedback between the reservoir and the fluxes into and/or out of the reservoir. assume that the rate of outflow from a reservoir depends on the size of the reservoir according to the following relationship: outflow rate= k x (size of reservoir), where k is a constant. a reservoir of water has a volume of 5000 liters, and the rate of outflow at steady state is 25 liters per minute. what is k? (give both the numerical value and its units.) what is the residence time? what is the relationship between k and the residence time?

Aray of light traveling parallel to the principal axis of a concave mirror will be reflected through the mirror's

When does your body conduct current more readily?